if you’re standing on the street 1,300 feet from the bottom of the building, you have to look up at a 23 degree angle to see the top. How tall is the building ? explain or show your reasoning.
1 answer:
Answer:
551.82feet tall
Step-by-step explanation:
WE are given the following from the question;
Distance of me from the bottom of the building = 1300feet (adjacent)
Angle of elevation = 23 degrees
Required
Height (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 23 = H/1300
H = 1300tan23
H = 1300(0.4245)
H = 551.82feet
Hence the building is 551.82feet tall
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